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NDA 2014

Exam: NDA
Year: 2014
Subject: Mathematics
Chapter: Ellipse

NDA 2014 · Mathematics · Ellipse

Paragraph : Consider an ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 Question...

<strong>Paragraph :</strong> Consider an ellipse \frac{x^2}{a^2}+\frac{y^2}{b^2}=1

Question : What is the area included between the ellipse and the greatest rectangle inscribed in the ellipse?

Options

A $a b(\pi-1)$
B $2 a b(\pi-1)$
C $a b(\pi-2)$
DNone of the above

Correct answer

C. $a b(\pi-2)$

Step-by-step solution

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